تقرير
Characterization of Entropy for Spacing shifts
| العنوان: | Characterization of Entropy for Spacing shifts |
|---|---|
| المؤلفون: | Dastjerdi, Dawoud Ahmadi, Amiri, Maliheh Dabbaghian |
| سنة النشر: | 2011 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems, 37B10 (Primary) 37B40, 37B20, 37B05 (Secondary) |
| الوصف: | Suppose $P\subseteq \mathbb{N}$ and let $(\Sigma_P,\,\sigma_P)$ be the space of a spacing shift. We show that if entropy $h_{\sigma_P}=0$ then $(\Sigma_P,\,\sigma_P)$ is proximal. Also $h_{\sigma_P}=0$ if and only if $P=\mathbb N\setminus E$ where $E$ is an intersective set. Moreover, we show that $h_{\sigma_P}>0$ implies that $P$ is a $\Delta^*$ set; and by giving a class of examples, we show that this is not a sufficient condition. Then there is enough results to solve question 5 given in [J. Banks et al., \textit{Dynamics of Spacing Shifts}, Discrete Contin. Dyn. Syst., to appear.]. Comment: 5 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1110.6144 |
| رقم الأكسشن: | edsarx.1110.6144 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |